Mathematical basis of statistics /
Mathematical Basis of Statistics.
Clasificación: | Libro Electrónico |
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Autor principal: | |
Otros Autores: | |
Formato: | Electrónico eBook |
Idioma: | Inglés Francés |
Publicado: |
New York :
Academic Press,
1981.
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Colección: | Probability and mathematical statistics.
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Temas: | |
Acceso en línea: | Texto completo |
MARC
LEADER | 00000cam a2200000 a 4500 | ||
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001 | SCIDIR_ocn610176164 | ||
003 | OCoLC | ||
005 | 20231117033110.0 | ||
006 | m o d | ||
007 | cr bn||||||abp | ||
007 | cr bn||||||ada | ||
008 | 100429s1981 nyu ob 001 0 eng d | ||
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066 | |c (S | ||
019 | |a 1100913706 |a 1397705181 | ||
020 | |a 9780120792405 |q (electronic bk.) | ||
020 | |a 0120792400 |q (electronic bk.) | ||
020 | |a 9781483191447 |q (e-book) | ||
020 | |a 1483191443 | ||
035 | |a (OCoLC)610176164 |z (OCoLC)1100913706 |z (OCoLC)1397705181 | ||
041 | 1 | |a eng |h fre | |
042 | |a dlr | ||
050 | 4 | |a QA276 | |
082 | 0 | 4 | |a 519.5 |2 19 |
084 | |a 31.73 |2 bcl | ||
100 | 1 | |a Barra, Jean Ren�e, |d 1934- | |
240 | 1 | 0 | |a Notions fondamentales de statistique math�ematique. |l English |
245 | 1 | 0 | |a Mathematical basis of statistics / |c Jean-Ren�e Barra ; translation edited by Leon Herbach. |
260 | |a New York : |b Academic Press, |c 1981. | ||
300 | |a 1 online resource (xvi, 249 pages) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
490 | 1 | |a Probability and mathematical statistics | |
504 | |a Includes bibliographical references (pages 243-245) and index. | ||
506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
588 | 0 | |a Print version record. | |
505 | 8 | |a 5.P-Minimum Sufficient Subfields and Statistics6. Relationship among Freedom, Completeness, Sufficiency, and StochasticIndependence; 7. Existence of Free Events; Exercises; CHAPTER 3. Statistical Information; 1. Introduction; 2. Information (according to Fisher); Exercises; CHAPTER 4. Statistical Inference; 1. Introduction; 2. Decisions and Strategies; 3. Hypothesis Testing and Statistical Estimation; 4. Choosing a Strategy; 5. Quasi-Ordering Induced by a Loss Function; 6. Nuisance Parameters; Exercises; CHAPTER 5. Testing Statistical Hypotheses; 1. Definitions and Preliminary Remarks | |
505 | 8 | |a 2. Quasi-Ordering on Tests of Hypotheses3. Optimal Tests; 4. The Fundamental Neyman-Pearson Lemma; 5. Determining Optimal Tests; 6. Nonoptimal Methods; Exercises; CHAPTER 6. Statistical Estimation; 1. Unbiased Estimators; 2. Optimal Estimators; 3. Construction of Confidence Regions; 4. Optimal Set Estimators; Exercises; CHAPTER 7. The Multivariate Normal Distribution; 1. Some Useful Distributions; 2. Multivariate Normal Distributions; 3. Quadratic Forms of Normal Vectors; 4. Stochastic Dependence among Normal Vectors; Exercises; CHAPTER 8. Random Matrices; 1. Notation | |
505 | 8 | |a 2. Covariance and Characteristic Function of a Random Matrix3. Some Miscellaneous Results; 4. Fundamental Results; 5. Normal Random Matrix; 6. Generalized Gamma Distributions; 7. Bartlett's Decomposition of a Gamma Distribution; 8. Nonsingular Gamma Distribution; 9. Generalized Beta Distributions; 10. Generalized Noncentral Gamma Distributions; Exercises; CHAPTER 9. Linear-Normal Statistical Spaces; 1. The Cochran Theorem; 2. Linear-Normal Statistical Spaces; 3. Fundamental Theorems; 4. Testing Linear Hypotheses; 5. Estimation of Linear Functions | |
505 | 8 | |a 6. Fundamental Lemmas for Analysis of Variance7. Methodology of Analysis of Variance (Model I) in Experimental Design; 8. Analysis of Variance for Some Standard Experimental Designs; 9. Introduction to Analysis of Variance (Model II); 10. Generalized Linear-Normal Statistical Spaces; Exercises; CHAPTER 10. Exponential Statistical Spaces; 1. Laplace Transform of a Measure; 2. Analytical Properties of Exponential Statistical Spaces; 3. Sufficient Statistics on an Exponential Statistical Space; 4. Incomplete Exponential Statistical Spaces; 5. The Behrens-Fisher Problem; Exercises | |
520 | |a Mathematical Basis of Statistics. | ||
546 | |a English. | ||
650 | 0 | |a Mathematical statistics. | |
650 | 7 | |a Mathematical statistics |2 fast |0 (OCoLC)fst01012127 | |
700 | 1 | |a Herbach, Leon H. | |
776 | 0 | 8 | |i Print version: |a Barra, Jean Ren�e, 1934- |s Notions fondamentales de statistique math�ematique. English. |t Mathematical basis of statistics. |d New York : Academic Press, 1981 |w (DLC) 80000579 |w (OCoLC)6918311 |
830 | 0 | |a Probability and mathematical statistics. | |
856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780120792405 |z Texto completo |
880 | 0 | |6 505-00 |a Front Cover; Mathematical Basis of Statistics; Copyright Page; Table of Contents; Foreword; Editor's Preface; Preface; Notation and Terminology; CHAPTER 1. Statistical Spaces; 1. Statistical Spaces; the Dominated Case; 2. Statistics, Integrable Statistics, and Completeness; 3. Prior and Posterior Distributions; 4. Products of Statistical Spaces; Exercises; CHAPTER 2. Sufficiency and Freedom; 1. Sufficientσ-Fields and Sufficient Statistics; 2. Factorization Criterion of Sufficiency; 3. Projection of a Statistic; 4. Free Subfields and Distribution-Free Statistics |